What is the gcf of 56 and 54?

1 Answer
Dec 27, 2016

First factorize into primes

Explanation:

#54=2xx3xx3xx3=2xx3^3#
#56=2xx2xx2xx7=2^3xx7#

For GCF you take all common factors to their lowest power:
#GCF=2#

Check!
#54div2=27=3^3#
#56div2=28=2^2xx7#
And these have no common factors anymore.